Effect of Variable Axial Force on the Deflection of Thick Beam Under Distributed Moving Load
Jimoh Sule Adekunle, S. T. Oni, Ajijola Olawale Olanipekun
Asian Research Journal of Mathematics · pp. 1–19 · Published 1 Oct 2017
10.9734/ARJOM/2017/35786Abstract
The effect of variable axial force on the deflection of thick beam under moving load is investigated in this research work. In order to obtain solution to the dynamic problem, a technique base on the method of Galerkin with the series representation of Heaviside function, was first used to transform the equation and thereafter the transformed equations were solved using Struble’s asymptotic method and Laplace transformation techniques in conjunction with convolution theory. The closed form solution of the transverse displacement for moving force and moving distributed mass models for the dynamical problem obtained were calculated for various time t. Important features of the analysis were investigated and discussed.
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